Ask Question
27 August, 03:01

A wagon is rolling forward on level ground. Friction is negligible. The person sitting in the wagon is holding a rock. The total mass of the wagon, rider, and rock is 93.1 kg. The mass of the rock is 0.292 kg. Initially the wagon is rolling forward at a speed of 0.456 m/s. Then the person throws the rock with a speed of 15.4 m/s. Both speeds are relative to the ground. Find the speed of the wagon after the rock is thrown (a) directly forward in one case and (b) directly backward in another.

+4
Answers (1)
  1. 27 August, 03:38
    0
    a) 0.41 m/s

    b) 0.51 m/s

    Explanation:

    (a)

    M = total mass of wagon, rider and the rock = 93.1 kg

    V = initial velocity of wagon = 0.456 m/s

    m = mass of the rock = 0.292 kg

    v = velocity of rock after throw = 15.4 m/s

    V' = velocity of wagon after rock is thrown

    Using conservation of momentum

    M V = m v + (M - m) V'

    (93.1) (0.456) = (0.292) (15.4) + (93.1 - 0.292) V'

    V' = 0.41 m/s

    b)

    M = total mass of wagon, rider and the rock = 93.1 kg

    V = initial velocity of wagon = 0.456 m/s

    m = mass of the rock = 0.292 kg

    v = velocity of rock after throw = - 15.4 m/s

    V' = velocity of wagon after rock is thrown

    Using conservation of momentum

    M V = m v + (M - m) V'

    (93.1) (0.456) = (0.292) ( - 15.4) + (93.1 - 0.292) V'

    V' = 0.51 m/s
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A wagon is rolling forward on level ground. Friction is negligible. The person sitting in the wagon is holding a rock. The total mass of ...” in 📙 Physics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers